Open AccessSuppression of the nonlinear phase error in phase shifting profilometry: considering non-smooth reflectivity and fractional period
Author(s) -
Hailong Chen,
Yilong Yin,
Zewei Cai,
Wei Xu,
Xiaoli Liu,
Xiangfeng Meng,
Xiang Peng
Publication year - 2018
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.26.013489
Subject(s) - optics , phase (matter) , profilometer , hilbert transform , nonlinear system , trigonometric functions , interferometry , compensation (psychology) , structured light 3d scanner , physics , mathematics , algorithm , computer science , materials science , surface finish , geometry , telecommunications , spectral density , psychology , scanner , quantum mechanics , psychoanalysis , composite material
Hilbert transform (HT) has been employed to compensate phase error arising from the nonlinear effect in phase shifting profilometry (PSP). However, in most common situations, pure HT may lead to a significant system error, which has a negative impact on subsequent phase error compensation. In this paper, system error from HT of non-stationary and non-continuous fringe is analyzed, and then a novel phase error suppression approach is presented. The cosine fringe without direct current (DC) component is reconstructed to eliminate the influence of non-smooth reflectivity, and the fractional periods at both ends of the reconstructed fringe are extended to generate fringe with integer number of periods. And then the HT is applied to the reconstructed and extended fringe. Finally, a revised phase-shifting algorithm is employed to calculate the phase with the fringe after HT. The proposed approach is suitable for PSP of the surface with non-smooth reflectivity (e.g. texture of complex colors), which is demonstrated in a series of experiments.